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Note on the completeness of a Cap
Abstract
Let q be
a power of 2. It is shown that every line orbit of length (q2 + 1)(q+1)
of a cyclic Singer group of PG (3,q)
constitutes a complete cap on the Klein quadric of PG (5, q).
Mathematics Subject
Classification (2000): 51E22.
Key words: Cap, Singer group, Klein quadric.
Quaestiones Mathematicae 26(2003), 385–388
a power of 2. It is shown that every line orbit of length (q2 + 1)(q+1)
of a cyclic Singer group of PG (3,q)
constitutes a complete cap on the Klein quadric of PG (5, q).
Mathematics Subject
Classification (2000): 51E22.
Key words: Cap, Singer group, Klein quadric.
Quaestiones Mathematicae 26(2003), 385–388
